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Finding the Fourth Proportional to 10,350.40, 15,525.60 and 9,202.23

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Solution

The fourth proportional to 10,350.40, 15,525.60 and 9,202.23 is: 13,803.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,350.40 : 15,525.60 = 9,202.23 : x
  2. Step 2: Convert to fraction form
    10,350.40/15,525.60 = 9,202.23/x
  3. Step 3: Cross multiply
    10,350.40x = 15,525.60 × 9,202.23
  4. Step 4: Simplify right side
    10,350.40x = 142,870,142.09
  5. Step 5: Solve for x
    x = 142,870,142.09/10,350.40
  6. Step 6: Final answer
    x = 13,803.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.